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Finding the Fourth Proportional to 292,325.64, 438,516.30 and 81,963

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Solution

The fourth proportional to 292,325.64, 438,516.30 and 81,963 is: 122,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,325.64 : 438,516.30 = 81,963 : x
  2. Step 2: Convert to fraction form
    292,325.64/438,516.30 = 81,963/x
  3. Step 3: Cross multiply
    292,325.64x = 438,516.30 × 81,963
  4. Step 4: Simplify right side
    292,325.64x = 35,942,111,496.90
  5. Step 5: Solve for x
    x = 35,942,111,496.90/292,325.64
  6. Step 6: Final answer
    x = 122,952.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.